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Finding the Fourth Proportional to 8,446.70, 12,666.40 and 2,602.02

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Solution

The fourth proportional to 8,446.70, 12,666.40 and 2,602.02 is: 3,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.70 : 12,666.40 = 2,602.02 : x
  2. Step 2: Convert to fraction form
    8,446.70/12,666.40 = 2,602.02/x
  3. Step 3: Cross multiply
    8,446.70x = 12,666.40 × 2,602.02
  4. Step 4: Simplify right side
    8,446.70x = 32,958,226.13
  5. Step 5: Solve for x
    x = 32,958,226.13/8,446.70
  6. Step 6: Final answer
    x = 3,901.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.